# Stored data for newform 9450.2.a.h, downloaded from the LMFDB on 24 April 2024. {"label": "9450.2.a.h", "space_label": "9450.2.a", "level": 9450, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31525197425157354, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 694003981448540903, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[11, [3, 1]], [13, [-4, 1]], [17, [6, 1]], [19, [7, 1]]], "qexp_display": "q-q^{2}+q^{4}-q^{7}-q^{8}-3q^{11}+4q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 37800, "fricke_eigenval": 1, "atkin_lehner_string": "++++", "analytic_conductor": 75.45862991010996, "hecke_ring_index": 1, "level_radical": 210, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [9450, 1, [9101, 6427, 6751], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.983", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.957", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.937", "prec": 17}], "related_objects": ["EllipticCurve/Q/9450/h"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [5, 1], [7, 1]], "trace_display": [-1, 0, 0, -1], "traces": [0, 1, -1, 0, 1, 0, 0, -1, -1, 0, 0, -3, 0, 4, 1, 0, 1, -6, 0, -7, 0, 0, 3, -3, 0, 0, -4, 0, -1, 0, 0, 5, -1, 0, 6, 0, 0, 7, 7, 0, 0, 9, 0, 10, -3, 0, 3, 6, 0, 1, 0, 0, 4, 12, 0, 0, 1, 0, 0, 6, 0, 8, -5, 0, 1, 0, 0, 4, -6, 0, 0, -9, 0, -2, -7, 0, -7, 3, 0, -10, 0, 0, -9, 0, 0, 0, -10, 0, 3, -15, 0, -4, -3, 0, -6, 0, 0, -8, -1, 0, 0, 6, 0, -5, -4, 0, -12, -12, 0, 11, 0, 0, -1, -18, 0, 0, 0, 0, -6, 6, 0, -2, -8, 0, 5, 0, 0, -20, -1, 0, 0, -6, 0, 7, -4, 0, 6, 12, 0, -4, 0, 0, 9, -12, 0, 0, 2, 0, 7, -6, 0, -10, 7, 0, -3, 0, 0, 4, 10, 0, 0, 3, 0, 16, 9, 0, 0, -18, 0, 3, 0, 0, 10, -21, 0, 0, -3, 0, 15, 24, 0, 2, 4, 0, 3, 0, 0, 18, 6, 0, 0, -15, 0, -14, 8, 0, 1, -18, 0, -7, 0, 0, -6, 0, 0, 0, 5, 0, 4, 21, 0, 14, 12, 0, 12, 0, 0, -5, -11, 0, 0, -24, 0, 1, 1, 0, 18, -6, 0, -4, 0, 0, 0, 6, 0, 0, 6, 0, -6, 0, 0, 26, 2, 0, 8, 0, 0, -28, -5, 0, 0, 0, 0, 9, 20, 0, 1, -21, 0, -7, 0, 0, 6, -15, 0, 0, -7, 0, 4, 15, 0, -16, -6, 0, -12, 0, 0, -17, 4, 0, 0, -18, 0, 4, -9, 0, 12, -9, 0, 19, 0, 0, -2, 18, 0, 0, -7, 0, 6, -12, 0, -10, 10, 0, -7, 0, 0, -29, 3, 0, 0, -12, 0, 28, -4, 0, -10, -30, 0, 0, 0, 0, -3, 42, 0, 0, -16, 0, -9, -6, 0, -28, 0, 0, 18, 0, 0, 13, -3, 0, 0, -15, 0, -1, -10, 0, 21, 3, 0, -10, 0, 0, 3, 21, 0, 0, -15, 0, -24, 12, 0, 30, -2, 0, -4, 0, 0, -17, -3, 0, 0, -12, 0, 13, -18, 0, -6, 0, 0, 2, 0, 0, 15, -30, 0, 0, 14, 0, -8, -12, 0, 18, -1, 0, 18, 0, 0, -2, 7, 0, 0, -24, 0, 20, 6, 0, 0, -21, 0, -22, 0, 0, -5, -6, 0, 0, -4, 0, -21, -18, 0, 17, -14, 0, -12, 0, 0, -8, -12, 0, 0, -3, 0, 16, 5, 0, 11, 21, 0, 8, 0, 0, 24, -3, 0, 0, -1, 0, -1, -18, 0, -27, -18, 0, 6, 0, 0, 19, 4, 0, 0, -27, 0, -14, 0, 0, -6, 6, 0, -4, 0, 0, -6, -30, 0, 0, 6, 0, 0, 24, 0, 28, -26, 0, -2, 0, 0, -2, -8, 0, 0, 9, 0, 0, 28, 0, 5, 9, 0, -22, 0, 0, 0, 0, 0, 0, -9, 0, -20, 30, 0, 2, -1, 0, 21, 0, 0, -18, 7, 0, 0, 15, 0, -29, -6, 0, 15, -30, 0, -14, 0, 0, 7, 36, 0, 0, -4, 0, -15, -3, 0, -7, 16, 0, 6, 0, 0, 28, 12, 0, 0, 0, 0, 10, 17, 0, -4, -42, 0, 40, 0, 0, 18, -24, 0, 0, -4, 0, 9, -6, 0, 14, -12, 0, 9, 0, 0, -2, -19, 0, 0, 0, 0, -36, 2, 0, -18, 18, 0, -35, 0, 0, 7, 33, 0, 0, -6, 0, 12, 33, 0, -28, 10, 0, -10, 0, 0, 4, 7, 0, 0, 24, 0, -29, 29, 0, -3, 18, 0, 35, 0, 0, 12, 15, 0, 0, -28, 0, 4, -42, 0, 38, 10, 0, 30, 0, 0, 4, 0, 0, 0, 6, 0, -5, 3, 0, -42, -6, 0, -18, 0, 0, 16, 6, 0, 0, 9, 0, 6, 9, 0, -40, 28, 0, 0, 0, 0, 0, -18, 0, 0, -24, 0, 46, -13, 0, 3, 15, 0, 8, 0, 0, 15, -15, 0, 0, 1, 0, 10, 48, 0, -28, -21, 0, -3, 0, 0, -54, 10, 0, 0, 0, 0, -49, -3, 0, -21, -6, 0, 35, 0, 0, 15, -15, 0, 0, 24, 0, -12, 30, 0, 5, -30, 0, 2, 0, 0, -8, 4, 0, 0, -60, 0, 22, 17, 0, 3, -12, 0, -34, 0, 0, 12, 9, 0, 0, -13, 0, 18, 12, 0, -22, 6, 0, 0, 0, 0, -2, -2, 0, 0, -42, 0, -11, -15, 0, 30, 24, 0, -4, 0, 0, -14, 39, 0, 0, 8, 0, 12, -63, 0, 27, -18, 0, 1, 0, 0, -32, -18, 0, 0, 18, 0, 32, 2, 0, -7, 27, 0, -36, 0, 0, 24, 6, 0, 0, -20, 0, -6, 24, 0, -25, 0, 0, 21, 0, 0, -70, 22, 0, 0, 30, 0, -14, 5, 0, 6, 9, 0, -34, 0, 0, 4, -6, 0, 0, 21, 0, 18, 0, 0, -29, -17, 0, 14, 0, 0, 2, 12, 0, 0, -21, 0, -8, 8, 0, 12, 3, 0, -31, 0, 0, 3, 24, 0, 0, -16, 0, -5, 30, 0, 16, -11, 0, -21, 0, 0, -14, -8, 0, 0, -9, 0, 16, -24, 0, 3, 24, 0, 20, 0, 0, 1, -42, 0, 0, 1, 0, 18, 0, 0, -72, 27, 0, 18, 0, 0, 46, -6, 0, 0, 0, 0, 0, -19, 0, -4, 6, 0, -52, 0, 0, 27, -36, 0, 0, 14, 0, 0, -6, 0, -7, 6, 0, -6, 0, 0, -20, 4, 0, 0, 15, 0, -27, 6, 0, 30, -39, 0, -8, 0, 0, -6, 0, 0, 0, 0, 0, -24, -12, 0, -6, -28, 0, 26, 0, 0, 58, 2, 0, 0, 48, 0, 4, 2, 0, 8, 12, 0, 45, 0, 0, -9, -6, 0, 0, 0, 0, -28, -30, 0, -16, -5, 0, -9, 0, 0, 10, 22, 0, 0, 12, 0, -36, 0, 0, 0, -84, 0, -7, 0, 0, 9, 15, 0, 0, 20, 0, -30, -12, 0, 14, -2, 0, 1, 0, 0, -40, -21, 0, 0, -24, 0, 37, 18, 0, -7, -48, 0, 5, 0, 0, -15, 6, 0, 0, 29, 0, 6, -9, 0, 44, -15, 0, 30, 0, 0, 10, 14, 0, 0, -30, 0, -11, -7, 0, -36, 24, 0, -28, 0, 0, 4, 0, 0, 0, 15, 0, 3, 0, 0, -18, 7, 0, -16, 0, 0, 10, -6, 0, 0, 54, 0, -23, -28, 0, -12, 42, 0, -4, 0, 0, 0, -33, 0, 0, -10, 0, -17, -39, 0, -18, 4, 0, 42, 0, 0, 34, -40, 0, 0, -42, 0, 28, -18, 0, 24, -3, 0, -13, 0, 0, 4, 15, 0, 0, -9, 0, 6, -24, 0, -16, -14, 0, 12, 0, 0, 35, -9, 0, 0, 24, 0, -20, 2, 0, 19, -60, 0, -56, 0, 0, 0, -36, 0, 0, 36, 0, -2, 18, 0, -34, 18, 0, -18, 0, 0, 36, 35, 0, 0, -42, 0, -3, -7, 0, -33, 39, 0, 0, 0, 0, 6, -15, 0, 0, -12, 0, -33, -33, 0, 5, 28, 0, -10, 0, 0, 54, 10, 0, 0, 21, 0, -26, -4, 0, -7, -9, 0, -36, 0, 0, -24, 6, 0, 0, 29, 0, -29, -12, 0, -1, 3, 0, -18, 0, 0, -50, -35, 0, 0, 12, 0, 54, -12, 0, -15, 0, 0, 8, 0, 0, 28, -24, 0, 0, -4, 0, 42, 36, 0, -32, -38, 0, -10, 0, 0, -2, -30, 0, 0, 45, 0, -28, -4, 0, 0, 30, 0, 20, 0, 0, -6, -39, 0, 0, 5, 0, -3, -18, 0, -4, 42, 0, 6, 0, 0, -65, 18, 0, 0, -9, 0, -26, -16, 0, -6, 42, 0, -18, 0, 0, -9, 24, 0, 0, -6, 0, -9, -12, 0, 8, 40, 0, -28, 0, 0, -32, 0, 0, 0, 39, 0, 50, 0, 0, 18, 15, 0, -20, 0, 0, 24, 60, 0, 0, -46, 0, 13, 63, 0, 14, -3, 0, -15, 0, 0, -18, -8, 0, 0, 51, 0, 0, -15, 0, 15, 33, 0, 12, 0, 0, -1, 0, 0, 0, -10, 0, -48, 18, 0, 50, 28, 0, 21, 0, 0, 14, 3, 0, 0, -48, 0, 7, 54, 0, -10, 60, 0, 32, 0, 0, 0, -24, 0, 0, 49, 0, 3, -24, 0, 0, 21, 0, 6, 0, 0, 44, -35, 0, 0, 0, 0, -2, -15, 0, 15, -54, 0, 17, 0, 0, -24, -21, 0, 0, 12, 0, -30, -75, 0, 18, -5, 0, 30, 0, 0, 55, -2, 0, 0, -51, 0, -59, 8, 0, -4, 30, 0, 11, 0, 0, 60, -21, 0, 0, -22, 0, -17, -72, 0, -40, -3, 0, 12, 0, 0, -14, 34, 0, 0, -30, 0, -17, -12, 0, -9, 12, 0, 50, 0, 0, 13, 60, 0, 0, -18, 0, -12, 36, 0, 70, 22, 0, -6, 0, 0, -36, 0, 0, 0, 0, 0, 90, 2, 0, 2, 63, 0, 5, 0, 0, 42, 75, 0, 0, 11, 0, 15, 12, 0, -25, -30, 0, -24, 0, 0, 0, 4, 0, 0, -12, 0, 49, 14, 0, -39, 24, 0, 47, 0, 0, -8, 27, 0, 0, -12, 0, 63, -6, 0, -1, -27, 0, 18, 0, 0, 7, -1, 0, 0, 60, 0, -8, 32, 0, 18, 0, 0, -40, 0, 0, -18, 27, 0, 0, -32, 0, -2, 6, 0, 70, 7, 0, -27, 0, 0, -14, 36, 0, 0, 66, 0, 4, -24, 0, -6, -24, 0, -10, 0, 0, 20, -33, 0, 0, 6, 0, -24, -33, 0, 47, 25, 0, 0, 0, 0, -35, -21, 0, 0, -6, 0, 27, 70, 0, -22, -54, 0, 18, 0, 0, -30, 60, 0, 0, 14, 0, -5, 48, 0, -80, -6, 0, -9, 0, 0, -74, 34, 0, 0, 30, 0, -62, -4, 0, 6, 45, 0, 32, 0, 0, -21, 0, 0, 0, -18, 0, 0, 6, 0, 40, 29, 0, 17, 0, 0, -26, -14, 0, 0, 105, 0, 34, -2, 0, -12, 21, 0, -1, 0, 0, 21, -24, 0, 0, 8, 0, -8, -36, 0, 0, -12, 0, -3, 0, 0, -36, 31, 0, 0, 54, 0, -14, -3, 0, -24, -12, 0, 28, 0, 0, 16, -60, 0, 0, 5, 0, -30, 42, 0, 50, -16, 0, 11, 0, 0, -56, 21, 0, 0, 30, 0, 28, 14, 0, 8, 0, 0, -40, 0, 0, 9, 90, 0, 0, -16, 0, 24, 0, 0, -9, -3, 0, -24, 0, 0, -14, -20, 0, 0, 48, 0, -11, -1, 0, 42, -3, 0, -46, 0, 0, -1, -48, 0, 0, -18, 0, 0, 21, 0, -70, 72, 0, -27, 0, 0, -16, -18, 0, 0, 12, 0, 7, -46, 0, 6, 30, 0, 72, 0, 0, 0, -78, 0, 0, 0, 0, 19, 30, 0, -58, 4, 0, -6, 0, 0, 54, 52, 0, 0, 15, 0, 56, -27, 0, 36, -18, 0, 57, 0, 0, -14, -66, 0, 0, 0, 0, 6, -9, 0, 26, 7, 0, -6, 0, 0, -5, 6, 0, 0, 3, 0, -65, 20, 0, -4, 54, 0, -1, 0, 0, -15, -15, 0, 0, 27, 0, -6, 9, 0, 40, -30, 0, 39, 0, 0, 16, 8, 0, 0, 6, 0, 63, 6, 0, 0, 66, 0, 0, 0, 0, 0, -84, 0, 0, 24, 0, 12, -42, 0, 108, 6, 0, 28, 0, 0, 54, -26, 0, 0, -18, 0, 1, -58, 0, -2, -24, 0, 17, 0, 0, -48, 0, 0, 0, -4, 0, -2, -75, 0, -1, -8, 0, -12, 0, 0, 35, -45, 0, 0, 84, 0, -40, 9, 0, 6, 18, 0, -72, 0, 0, 0, -18, 0, 0, 28, 0, 30, -24, 0, -4, 16, 0, 5, 0, 0, -53, 9, 0, 0, -6, 0, -50, -10, 0, -22, -48, 0, -70, 0, 0, -12, 9, 0, 0, 36, 0, 0, 9, 0, 14, 0, 0, 84, 0, 0, -47, 7, 0, 0, 60, 0, -19, -9, 0, -15, -15, 0, -58, 0, 0, -20, 84, 0, 0, 30, 0, 12, 3, 0, 16, -14, 0, 2, 0, 0, 45, -1, 0, 0, -18, 0, -83, 40, 0, 21, 12, 0, 0, 0, 0, 24, 6, 0, 0, -37, 0, -18, 6, 0, -77, 7, 0, 48, 0, 0, 20, -5, 0, 0, -60, 0, -32, 15, 0, -6, -81, 0, 56, 0, 0, -29, 12, 0, 0, -6, 0, 9, -72, 0, 45, -44, 0, 15, 0, 0, 10, -30, 0, 0, 87, 0, -8, -10, 0, -14, 0, 0, 64, 0, 0, 30, 42, 0, 0, 11, 0, 7, -54, 0, -28, 36, 0, -24, 0, 0, 31, 28, 0, 0, 45, 0, -74, -4, 0, 0, 126, 0, 29, 0, 0, -15, 12, 0, 0, -3, 0, 0, 120, 0, -16, 18, 0, -7, 0, 0, 54, 16, 0, 0, -72, 0, 108, -10, 0, 6, 12, 0, -34, 0, 0, -54, 42, 0, 0, 23, 0, 28, 21, 0, -28, 12, 0, -42, 0, 0, -40, 4, 0, 0, -45, 0, -35, 0, 0, 33, -84, 0, -11, 0, 0, 10, 18, 0, 0, 17, 0, 39, 30, 0, 17, 18, 0, -4, 0, 0, 36, -42, 0, 0, 24, 0, 0, -34, 0, 40, -42, 0, -55, 0, 0, 42, 48, 0, 0, -28, 0, 18, -84, 0, -16, -24, 0, 3, 0, 0, 56, 13, 0, 0, -42, 0, -10, -4, 0, -15, -36, 0, 29, 0, 0, 9, 15, 0, 0, -6, 0, 24, 120, 0, -94, 16, 0, 14, 0, 0, -47, -12, 0, 0, 0, 0, 37, -35, 0, 9, -72, 0, 14, 0, 0, -24, 6, 0, 0, 20, 0, -2, -54, 0, -64, -19, 0, 60, 0, 0, 28, 56, 0, 0, -42, 0, -18, 0, 0, 36, 96, 0, -72, 0, 0, -36, 78, 0, 0, 2, 0, -18, -36, 0, 74, 34, 0, -18, 0, 0, 28, 18, 0, 0, 72, 0, 8, -36, 0, -35, 42, 0, -13, 0, 0, 42, 24, 0, 0, 3, 0, 7, 15, 0, -85, 33, 0, -39, 0, 0, -38, 0, 0, 0, 36, 0, -35, -6, 0, 15, 15, 0, 23, 0, 0, 12, 9, 0, 0, 33, 0, 33, 66, 0, 1, -5, 0, -28, 0, 0, 0, 10, 0, 0, -84, 0, 140, -54, 0, -10, 42, 0, 54, 0, 0, -21, 0, 0, 0, 26, 0, 4, -3, 0, 72, 7, 0, 9, 0, 0, -26, 36, 0, 0, 21, 0, 10, 24, 0, -6, -24, 0, -50, 0, 0, -29, -3, 0, 0, 29, 0, 12, -51, 0, 36, 1, 0, -3, 0, 0, -92, 18, 0, 0, -21, 0, 91, 50, 0, 35, 81, 0, 28, 0, 0, -12, -60, 0, 0, -54, 0, 12, 42, 0, 72, 15, 0, 0, 0, 0, 18, -8, 0, 0, 72, 0, 34, -28, 0, 24, -33, 0, -56, 0, 0, 4, -12, 0, 0, -42, 0, -36, 12, 0, 11, 32, 0, 38, 0, 0, -30, 10, 0, 0, 51, 0, 36, 2, 0, 30, 60, 0, -43, 0, 0, -45, 96, 0, 0, 28, 0, 4, 54, 0, 59, 0, 0, -30, 0, 0, 7, -20, 0, 0, -72, 0, -18, 6, 0, 39, 60, 0, 17, 0, 0, -5, 0, 0, 0, 3, 0, 18, 42, 0, 0, 4, 0, -42, 0, 0, -28, -6, 0, 0, 0, 0, -38, 65, 0, -18, 12, 0, 54, 0, 0, 9, -84, 0, 0, 26, 0, 16, 39, 0, -13, 6, 0, -42, 0, 0, 64, 18, 0, 0, 69, 0, 80, 9, 0, -24, -63, 0, 0, 0, 0, 6, -18, 0, 0, 9, 0, 12, 0, 0, 28, -8, 0, -40, 0, 0, 52, 28, 0, 0, -78, 0, -2, 32, 0, 0, 30, 0, 5, 0, 0, -39, -42, 0, 0, -50, 0, 0, -24, 0, -10, -18, 0, -15, 0, 0, -32, 20, 0, 0, 30, 0, -92, -24, 0, -60, 72, 0, -10, 0, 0, 46, -39, 0, 0, -13, 0, -63, 51, 0, -14, -14, 0, 3, 0, 0, -8, 15, 0, 0, 48, 0, 13, 18, 0, 8, 84, 0, -79, 0, 0, -51, 12, 0, 0, 0, 0, 15, -45, 0, 50, -15, 0, -33, 0, 0, -18, -12, 0, 0, -12, 0, 56, 1, 0, 0, 36, 0, 50, 0, 0, 10, -48, 0, 0, 48, 0, -18, -75, 0, 0, -50, 0, -28, 0, 0, -14, -21, 0, 0, -96, 0, 36, -14, 0, -3, -21, 0, 2, 0, 0, 48, 6, 0, 0, -7, 0, -54, 51, 0, 83, 10, 0, -60, 0, 0, 91, -32, 0, 0, 72, 0, 103, 0, 0, 24, 24, 0, 91, 0, 0, -49, 0, 0, 0, -3, 0, 24, 48, 0, -20, 0, 0, -21, 0, 0, 63, -6, 0, 0, 42, 0, 28, -44, 0, 35, -102, 0, 108, 0, 0, 0, 36, 0, 0, 2, 0, 15, 21, 0, 44, -15, 0, 54, 0, 0, -14, -17, 0, 0, 39, 0, 22, 24, 0, 21, 48, 0, 70, 0, 0, -12, -18, 0, 0, 30, 0, 75, -15, 0, 40, -18, 0, 5, 0, 0, 64, -30, 0, 0, 6, 0, 45, -55, 0, 2, -18, 0, 4, 0, 0, 51, -102, 0, 0, 59, 0, -8, -12, 0, -81, 4, 0, -30, 0, 0, 88, -11, 0, 0, 60, 0, -70, -60, 0, 21, 63, 0, 0, 0, 0, 22, 18, 0, 0, 17, 0, 72, -18, 0, 126, 40, 0, 3, 0, 0, -17, -12, 0, 0, -24, 0, 70, 14, 0, -34, -78, 0, -45, 0, 0, 30, 60, 0, 0, 17, 0, 12, -72, 0, -97, 9, 0, -12, 0, 0, -16, -50, 0, 0, 48, 0, -28, -13, 0, -60, 0, 0, 8, 0, 0, 18, -18, 0, 0, 12, 0, -36, -84, 0, 86, -70, 0, -22, 0, 0, -40, 6, 0, 0, -63, 0, 18, 36, 0, 0, 3, 0, 104, 0, 0, 0, -72, 0, 0, -90, 0, -2, 24, 0, -16, -2, 0, -63, 0, 0, -50, -5, 0, 0, -66, 0, -144, -42, 0, -75, 51, 0, -82, 0, 0, -11, -90, 0, 0, -15, 0, -12, -21, 0, -79, 25, 0, 30, 0, 0, -62, 24, 0, 0, 0, 0, -8, 0, 0, -4, -12, 0, 29, 0, 0, 12, 30, 0, 0, -49, 0, -14, 66, 0, 54, 39, 0, -24, 0, 0, -112, -47, 0, 0, 3, 0, 0, 8, 0, -27, 0, 0, -31, 0, 0, 12, -12, 0, 0, -63, 0, 6, -75, 0, -46, 1, 0, 27, 0, 0, 72, -18, 0, 0, 30, 0, 104, -7, 0, 1, -108, 0, -20, 0, 0, -60, 18, 0, 0, 8, 0, -32, 24, 0, -36, -18, 0, 0, 0, 0, 27, 40, 0, 0, 0, 0, -23, 18, 0, -27, -6, 0, 20, 0, 0, 32, 126, 0, 0, 2, 0, -6, -57, 0, -94, -70, 0, -7, 0, 0, -38, 27, 0, 0, 0, 0, -25, 14, 0, -36, 12, 0, -19, 0, 0, -66, -24, 0, 0, -4, 0, 24, 42, 0, -21, 6, 0, 24, 0, 0, 103, 10, 0, 0, -72, 0, -54, -20, 0, 33, 27, 0, -1, 0, 0, -6, 96, 0, 0, 24, 0, 33, -90, 0, 14, -47, 0, -25, 0, 0, 90, 0, 0, 0, 6, 0, -68, 35, 0, 21, -102, 0, -52, 0, 0, 6, 0, 0, 0, -27, 0, -70, -6, 0, -40, 22, 0, 54, 0, 0, 0, -18, 0, 0, 84, 0, 4, 30, 0, -60, 147, 0, 36, 0, 0, -14, -105, 0, 0, 5, 0, -48, -51, 0, 26, 80, 0, 6, 0, 0, -95, 9, 0, 0, 30, 0, -2, 74, 0, -34, -60, 0, 98, 0, 0, -30, 24, 0, 0, 62, 0, 4, 60, 0, 47, -6, 0, -45, 0, 0, -54, -32, 0, 0, -84, 0, -68, 21, 0, 0, 81, 0, 108, 0, 0, 18, -24, 0, 0, 0, 0, -6, -54, 0, 5, -40, 0, -29, 0, 0, -28, -17, 0, 0, -12, 0, 64, 26, 0, 14, 87, 0, 55, 0, 0, -105, 42, 0, 0, -34, 0, 2, -72, 0, -55, 12, 0, -21, 0, 0, -100, 1, 0, 0, -168, 0, 0, -21, 0, 24, -48, 0, 2, 0, 0, -8, 30, 0, 0, 8, 0, 36, -60, 0, 36, 0, 0, 12, 0, 0, 18, 3, 0, 0, -12, 0, -14, 36, 0, -31, -9, 0, -14, 0, 0, -54, -84, 0, 0, 14, 0, 3, -69, 0, 0, 24, 0, 12, 0, 0, 52, -28, 0, 0, -66, 0, 19, -16, 0, 60, -48, 0, -49, 0, 0, -5, 30, 0, 0, 30, 0, -42, -9, 0, -23, -50, 0, 16, 0, 0, 90, -11, 0, 0, 12, 0, 22, 56, 0, -21, 60, 0, -100, 0, 0, -30, -90, 0, 0, -28, 0, -14, 0, 0, -70, -8, 0, 0, 0, 0, 46, 40, 0, 0, 0, 0, -64, -9, 0, -90, -54, 0, -61, 0, 0, 16, 105, 0, 0, -24, 0, 0, -12, 0, 86, 9, 0, 3, 0, 0, 52, 24, 0, 0, 48, 0, -126, 14, 0, 20, 36, 0, 104, 0, 0, -48, -30, 0, 0, 11, 0, 1, 0, 0, -28, -42, 0, 3, 0, 0, -2, 46, 0, 0, -12, 0, -11, 1, 0, 48, -84, 0, -56, 0, 0, 18, 96, 0, 0, 0, 0, -21, 48, 0, -68, 70, 0, -72, 0, 0, 100, 27, 0, 0, -12, 0, 13, 16, 0, 18, 33, 0, 18, 0, 0, -12, 3, 0, 0, -7, 0, 46, 105, 0, -76, -6, 0, -30, 0, 0, 70, -72, 0, 0, 84, 0, 55, 0, 0, 78, -15, 0, -135, 0, 0, 0, -72, 0, 0, -19, 0, -30, 84, 0, 29, 58, 0, -4, 0, 0, 98, 6, 0, 0, 6, 0, -2, -54, 0, -52, -120, 0, 16, 0, 0, -15, 0, 0, 0, -56, 0, 27, 30, 0, -106, -36, 0, 18, 0, 0, 73, -57, 0, 0, -6, 0, 14, 14, 0, 66, -39, 0, 56, 0, 0, 0, -60, 0, 0, -6, 0, 9, -69, 0, 3, -26, 0, -7, 0, 0, 97, 6, 0, 0, -36, 0, -35, 5, 0, -6, 42, 0, 32, 0, 0, -3, 126, 0, 0, 65, 0, -20, -48, 0, -10, 4, 0, -54, 0, 0, 76, 1, 0, 0, 66, 0, -108, 15, 0, 15, -108, 0, 116, 0, 0, -27, 3, 0, 0, 6, 0, -9, 18, 0, 49, -40, 0, 30, 0, 0, 7, -39, 0, 0, -6, 0, 4, -16, 0, -8, 21, 0, 0, 0, 0, -6, 51, 0, 0, -63, 0, -6, 72, 0, -35, 0, 0, -66, 0, 0, -9, 0, 0, 0, 18, 0, -62, 0, 0, 84, -150, 0, -28, 0, 0, -24, 66, 0, 0, -12, 0, 42, 30, 0, 54, -108, 0, -6, 0, 0, -68, -28, 0, 0, 45, 0, -2, -54, 0, 26, 0, 0, 36, 0, 0, 18, -36, 0, 0, -1, 0, 58, -24, 0, -10, 2, 0, 24, 0, 0, -44, -17, 0, 0, 105, 0, -63, 48, 0, 0, -9, 0, 29, 0, 0, 4, 24, 0, 0, 2, 0, 75, 42, 0, 0, 1, 0, 8, 0, 0, 34, 12, 0, 0, 12, 0, -40, -35, 0, 45, -42, 0, 113, 0, 0, -84, -24, 0, 0, 40, 0, -9, -60, 0, 44, -6, 0, -18, 0, 0, -100, 72, 0, 0, 24, 0, -38, 0, 0, 18, -36, 0, -36, 0, 0, -28, 24, 0, 0, -30, 0, 24, -84, 0, -36, 4, 0, -16, 0, 0, -8, -5, 0, 0, -90, 0, 0, 53, 0, -9, -72, 0, 63, 0, 0, 6, 6, 0, 0, 50, 0, 10, 54, 0, -116, 22, 0, 48, 0, 0, -14, 70, 0, 0, 24, 0, 55, 12, 0, -9, 66, 0, -98, 0, 0, -36, -66, 0, 0, 0, 0, -9, 27, 0, 62, -14, 0, 0, 0, 0, 22, -84, 0, 0, 0, 0, 77, 47, 0, -7, 51, 0, 2, 0, 0, -60, -48, 0, 0, 19, 0, 9, 6, 0, 119, 15, 0, 15, 0, 0, -53, 58, 0, 0, -30, 0, 0, 20, 0, -84, 0, 0, 112, 0, 0, -30, 18, 0, 0, -12, 0, -3, 30, 0, 36, -16, 0, 14, 0, 0, 32, -2, 0, 0, -84, 0, -26, -45, 0, 1, -156, 0, -112, 0, 0, 18, -39, 0, 0, 83, 0, -40, -18, 0, 62, -21, 0, -12, 0, 0, -72, 0, 0, 0, -120, 0, 35, -24, 0, -6, 57, 0, 44, 0, 0, 37, -42, 0, 0, 18, 0, -6, -69, 0, 54, 77, 0, -7, 0, 0, 0, -48, 0, 0, -33, 0, 31, -20, 0, 5, -63, 0, 110, 0, 0, 60, -6, 0, 0, 32, 0, -15, -6, 0, -80, 6, 0, 81, 0, 0, 88, -56, 0, 0, -126, 0, -90, 29, 0, -12, -120, 0, -54, 0, 0, 6, -33, 0, 0, -9, 0, 72, 168, 0, 62, -45, 0, 44, 0, 0, 28, -15, 0, 0, -93, 0, 90, -10, 0, 30, 129, 0, -19, 0, 0, -87, -45, 0, 0, 8, 0, 10, 0, 0, -88, 14, 0, 0, 0, 0, -7, -64, 0, 0, 27, 0, 58, -30, 0, -42, 60, 0, -4, 0, 0, -11, 30, 0, 0, -7, 0, 54, 96, 0, -4, 28, 0, -36, 0, 0, 0, 24, 0, 0, -9, 0, -80, -31, 0, -28, -24, 0, 36, 0, 0, -45, 36, 0, 0, 74, 0, 4, 75, 0, 29, 0, 0, -126, 0, 0, 112, -29, 0, 0, -54, 0, -112, 15, 0, -12, -12, 0, -20, 0, 0, 3, 42, 0, 0, 0, 0, -120, -18, 0, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "378.2.a.b", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0], [1], [-1], [0], [1], [0], [0], [-1], [-1], [0], [0], [-3], [0], [4], [1], [0], [1], [-6], [0], [-7], [0], [0], [3], [-3], [0], [0], [-4], [0], [-1], [0], [0], [5], [-1], [0], [6], [0], [0], [7], [7], [0], [0], [9], [0], [10], [-3], [0], [3], [6], [0], [1], [0], [0], [4], [12], [0], [0], [1], [0], [0], [6], [0], [8], [-5], [0], [1], [0], [0], [4], [-6], [0], [0], [-9], [0], [-2], [-7], [0], [-7], [3], [0], [-10], [0], [0], [-9], [0], [0], [0], [-10], [0], [3], [-15], [0], [-4], [-3], [0], [-6], [0], [0], [-8], [-1], [0], [0]]}